What is the oblique asymptote of the function f(x) = the quantity of x squared plus x minus 2, all over x plus 1?

y = x + 3
y = x
y = x − 1
y = x − 3

Question

What is the oblique asymptote of the function f(x) = the quantity of x squared plus x minus 2, all over x plus 1?

 y = x + 3
 y = x
 y = x − 1
 y = x − 3

anonymous · Answer

@DanJS

anonymous · Answer

@zepdrix

danjs · Answer

do you see why this may have an oblique asmytope from inspection?

$$\large f(x) = \frac{ x^2+x-2 }{ x+1 }$$

anonymous · Answer

um i think so but im not sure

danjs · Answer

notice the highest powers of each , top and bottom.. 

If the top is larger  2 > 1,   there may be a slant asmytpoe

danjs · Answer

You can divide the bottom into the top in this case... do you know how to start that?

anonymous · Answer

no i dont

danjs · Answer

Start by drawing this

|dw:1447183301355:dw|

anonymous · Answer

ima rewrite what you do on paper

danjs · Answer

like normal division with numbers... what do you need to multiply x by to get x^2?

x,   put that in the top, then multiply (x+1) by that , and subtract...

anonymous · Answer

brb i gotta use the batroom